Total number of combinations for combination lock

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December 26th 2011, 07:51 AM
scalpmaster

Total number of combinations for combination lock

Hi, does anyone know how to calculate the total number of combinations for a 6XN combination lock? i.e. for each of the 6 wheel columns, there are N possible numbers.
December 26th 2011, 08:22 AM
Plato

Re: Total number of combinations for combination lock

Quote:

Originally Posted by scalpmaster

Hi, does anyone know how to calculate the total number of combinations for a 6XN combination lock? i.e. for each of the 6 wheel columns, there are N possible numbers.

There are six positions that can be filled by any one of N numbers.

So what is the answer?
December 26th 2011, 09:36 AM
scalpmaster

Re: Total number of combinations for combination lock

Quote:

Originally Posted by Plato

There are six positions that can be filled by any one of N numbers.

So what is the answer?

Not sure, 6^N?
December 26th 2011, 09:53 AM
Plato

Re: Total number of combinations for combination lock

Quote:

Originally Posted by scalpmaster

Not sure, 6^N?

Can you explain why you think that is the answer.
Here is a hint there are $10^3$ three digit numbers from $000,001,\cdots 999$ .
December 26th 2011, 09:57 AM
scalpmaster

Re: Total number of combinations for combination lock

Quote:

Originally Posted by Plato

Can you explain why you think that is the answer.
Here is a hint there are $10^3$ three digit numbers from $000,001,\cdots 999$ .

Seems more like N^6 instead from your hint?
December 26th 2011, 10:06 AM
Plato

Re: Total number of combinations for combination lock

Quote:

Originally Posted by scalpmaster

Seems more like N^6 instead from your hint?

Which one do you think it is and why?

The lock looks like: $\boxed{|__}\boxed{|__}\boxed{|__}\boxed{|__}\boxed {|__}\boxed{|__}$
December 26th 2011, 10:11 AM
scalpmaster

Re: Total number of combinations for combination lock

Quote:

Originally Posted by Plato

Which one do you think it is and why?

The lock looks like: $\boxed{|__}\boxed{|__}\boxed{|__}\boxed{|__}\boxed {|__}\boxed{|__}$

NxNxNxNxNxN
looks more like N^6?

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